MODELLING WITH GENERALIZED CYLINDER SURFACES
Keywords:generalized cylinder surface, hypocycloid, epicycloid, modelling surfaces, curve
This paper presents several of the most interesting surfaces generated by the spine curve of a generalized cylinder surface, with known parameters exhibiting advantages related to the calculation and drawing of the surface.
Farouki R. T., Rampersad I., (1998). Cycles upon cycles: An Anecdotal History of Higher Curves in Science and Engineering. Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, pg. 1-22, Nashville, Toronto.
Gansca I., Bronsvoort W. F., Coman G., Tambulea L., (2002). Self intersection avoidance and integral properties of generalized cylinders, Computer Aided Geometric Design, 19, Issue 9, (decembrie 2002), pp. 675-707, ISSN 0167-8396
Maekawa T., Patrikalakis N. M., Sakkalis T., Yu G., (1998). Analysis and applications of pipe surfaces, Computer Aided Geometric Design, 15, Issue 5, (mai 1998), pp. 437-458, ISSN 0167-8396
Van der Helm A., Ebell P., Bronsvoort W. F., (1998). Modelling mollusc shells with generalized cylinders, Computer & Graphics, Vol. 22, No. 4, pp. 505-513
Copyright (c) 2020 Journal of Industrial Design and Engineering Graphics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.